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Confidence interval estimation for the population coefficient of variation using ranked set sampling: a simulation study

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  • Ahmed N Albatineh
  • B.M. Golam Kibria
  • Meredith L Wilcox
  • Bashar Zogheib

Abstract

In this paper, an evaluation of the performance of several confidence interval estimators of the population coefficient of variation (τ) using ranked set sampling compared to simple random sampling is performed. Two performance measures are used to assess the confidence intervals for τ, namely: width and coverage probabilities. Simulated data were generated from normal, log-normal, skew normal, Gamma, and Weibull distributions with specified population parameters so that the same values of τ are obtained for each distribution, with sample sizes n =15, 20, 25, 50, 100. A real data example representing birth weight of 189 newborns is used for illustration and performance comparison.

Suggested Citation

  • Ahmed N Albatineh & B.M. Golam Kibria & Meredith L Wilcox & Bashar Zogheib, 2014. "Confidence interval estimation for the population coefficient of variation using ranked set sampling: a simulation study," Journal of Applied Statistics, Taylor & Francis Journals, vol. 41(4), pages 733-751, April.
    • Handle: RePEc:taf:japsta:v:41:y:2014:i:4:p:733-751
    DOI: 10.1080/02664763.2013.847405
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    References listed on IDEAS

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    1. Steven N. MacEachern & Ömer Öztürk & Douglas A. Wolfe & Gregory V. Stark, 2002. "A new ranked set sample estimator of variance," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(2), pages 177-188, May.
    2. Rahim Mahmoudvand & Hossein Hassani, 2009. "Two new confidence intervals for the coefficient of variation in a normal distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(4), pages 429-442.
    3. C. B. Zeller & V. H. Lachos & F. E. Vilca-Labra, 2011. "Local influence analysis for regression models with scale mixtures of skew-normal distributions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(2), pages 343-368, October.
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    Cited by:

    1. Warisa Thangjai & Suparat Niwitpong & Sa-Aat Niwitpong, 2017. "Confidence Intervals for Mean and Difference between Means of Normal Distributions with Unknown Coefficients of Variation," Mathematics, MDPI, vol. 5(3), pages 1-23, July.
    2. Parisa Hasanalipour & Mostafa Razmkhah, 2021. "Testing skew-symmetry based on extreme ranked set sampling," Statistical Papers, Springer, vol. 62(5), pages 2311-2332, October.
    3. Hamid Rahmani & Mostafa Razmkhah, 2017. "Perfect ranking test in moving extreme ranked set sampling," Statistical Papers, Springer, vol. 58(3), pages 855-875, September.

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